4a+2=3a+b+1

Solution for 4a+2=3a+b+1 equation:

Simplifying
4a + 2 = 3a + b + 1

Reorder the terms:
2 + 4a = 3a + b + 1

Reorder the terms:
2 + 4a = 1 + 3a + b

Solving
2 + 4a = 1 + 3a + b

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-3a' to each side of the equation.
2 + 4a + -3a = 1 + 3a + -3a + b

Combine like terms: 4a + -3a = 1a
2 + 1a = 1 + 3a + -3a + b

Combine like terms: 3a + -3a = 0
2 + 1a = 1 + 0 + b
2 + 1a = 1 + b

Add '-2' to each side of the equation.
2 + -2 + 1a = 1 + -2 + b

Combine like terms: 2 + -2 = 0
0 + 1a = 1 + -2 + b
1a = 1 + -2 + b

Combine like terms: 1 + -2 = -1
1a = -1 + b

Divide each side by '1'.
a = -1 + b

Simplifying
a = -1 + b